Summation of rational numbers:We have 3/5+2/7 13/350ex0ex=3x7/5x7+2x5/7x5 13/350ex0ex=21/35+10/35 13/350ex0ex=21+10 13/350ex0ex=18/35Hence, 18/35 is the require ...

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Standard X

Mathematics

Quadratic Equations

Solve 3/5+2/7...

Question

Solve $\frac{3}{5} + \frac{2}{7} - \frac{13}{35}$

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Solution

Summation of rational numbers:
We have
$\frac{3}{5} + \frac{2}{7} - \frac{13}{35} = \frac{3 x 7}{5 x 7} + \frac{2 x 5}{7 x 5} - \frac{13}{35} = \frac{21}{35} + \frac{10}{35} - \frac{13}{35} = \frac{21 + 10 - 13}{35} = \frac{18}{35}$
Hence, $\frac{18}{35}$ is the required answer.

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\begin{array}{rcl} - \frac{x}{3} + \frac{2}{5} & = & - \frac{7}{15} \\ - \frac{x}{3} + \frac{2}{5} - \frac{2}{5} & = & - \frac{7}{15} - \frac{2}{5} \\ - \frac{x}{3} & = & - \frac{13}{15} \\ 3 ∙ (- \frac{x}{3}) & = & 3 ∙ (- \frac{13}{15}) \\ x & = & - 2 \frac{3}{5} \end{array}

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Solve 35+27-1335

Summation of rational numbers:We have 35+27-1335=3x75x7+2x57x5-1335=2135+1035-1335=21+10-1335=1835Hence, 1835 is the required answer.

Solve $\frac{3}{5} + \frac{2}{7} - \frac{13}{35}$

Summation of rational numbers:
We have
$\frac{3}{5} + \frac{2}{7} - \frac{13}{35} = \frac{3 x 7}{5 x 7} + \frac{2 x 5}{7 x 5} - \frac{13}{35} = \frac{21}{35} + \frac{10}{35} - \frac{13}{35} = \frac{21 + 10 - 13}{35} = \frac{18}{35}$
Hence, $\frac{18}{35}$ is the required answer.